BCQ Condition and Characterization of the Best Uniform Approximation with Generalized Restrictions
BCQ条件和广义限制域最佳一致逼近的特征

The problem of the best uniform approximation with generalized restrictions is investigated. Under the assumption that l and u have finite intersection points,by introducing the concepts of the sub-strong interior point condition and making use of the BCQ condition from optimization theory, we study the relationship between the sub-strong interior point condition, BCQ condition and the characterization of the best uniform approximation with generalized restrictions.